Answer: $1250
Step-by-step explanation:
Given data:
Cost of car = $35,000
Down payment made = $2500
Interest rate = 5.25%
Duration of loan = 6 years
Loan Amount = $3000
Solution:
I = prt/100
where
I = interest
p = principal ($30,000)
r = 5.25%
t = 6
I = $30,000 * 5.25 * 6 /100
= $9450
interest payable on the loan in 6 years is $9450.
Rental
=$600 monthly * 6(12)
= $43,200
Amount made from renting the car is $43,200.
• Money saved by Benjamin in 6 years
= $43,200 – $32500 + $9450
= $43,200 – $41,950
= $1250
Benjamin would have saved $1250 in 6 years.
Let x be the money he had originally.
x/3+5=x/2
5=x/6
x=30
So he had $30 originally.
Answer:
it is 12
Step-by-step explanation:
Answer:
a. Mean = 155.1 grams
b. Standard deviation = 0.37
c. Fractional uncertainty = 0.074
Step-by-step explanation:
a. Average weight
This is same as the mean weight;
Mathematically, that would be; sum of the weights/ the number of weights
= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1
b. Standard deviation
Mathematically; we calculate that using the formula;
√{(x-mean)^2/(N-1)}
Please check attachment for for the complete breakdown of this
c. Fractional uncertainty
= Standard deviation/number of measurements = 0.37/5 = 0.074
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
